A pipe carries hot molten lead from one part of a factory floor to another. The mass flow rate of lead is 0.05 kg/s. While trying to figure out the heat loss from the pipe, you found that over a 2-m length of he pipe the lead temperature drops from 580 C to 557.C. What is the rate at which thermal energy is being lost from the lead carrying pipe in this 2-m section? Use the property table to find out properties of lead as needed.
A pipe carries hot molten lead from one part of a factory floor to another. The mass flow rate of lead is 0.05 kg/s. While trying to figure out the heat loss from the pipe, you found that over a 2-m length of he pipe the lead temperature drops from 580 C to 557.C. What is the rate at which thermal energy is being lost from the lead carrying pipe in this 2-m section? Use the property table to find out properties of lead as needed.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
A pipe carries hot molten lead from one part of a factory floor to another. The mass flow rate of lead is 0.05 kg/s. While trying to figure out the heat loss from the pipe, you found that over a 2-m length of he pipe the lead temperature drops from 580 C to 557.C. What is the rate at which thermal energy is being lost from the lead carrying pipe in this 2-m section? Use the property table to find out properties of lead as needed.
Transcribed Image Text:Properties of liquid metals
Temp. Density
T, °C
p, kg/m³
0 13595
25 13534
50 13473
75 13412
100 13351
150 13231
200 13112
250 12993
300 12873
350 9969
400 9908
500 9785
600 9663
700 9540
400 10506
450 10449
500
10390
10329
10267
650 10206
700 10145
550
600
100 927.3
200 902.5
300 877.8
400 853.0
500 828.5
600 804.0
200 795.2
300 771.6
400 748.0
500
723.9
600 699.6
Specific
Heat
Cp, J/kg.K
140.4
139.4
138.6
137.8
137.1
136.1
135.5
135.3
135.3
146.0
148.2
152.8
157.3
161.8
158
156
155
155
155
155
155
1378
1349
1320
1296
1284
1272
790.8
772.8
754.8
750.0
750.0
Thermal
Conductivity
k, W/m.K
8.18200
8.51533
8.83632
9.15632
9.46706
10.07780
10.65465
11.18150
11.68150
16.28
16.10
15.74
15.60
15.60
15.97
15.74
15.54
15.39
15.23
15.07
14.91
85.84
80.84
75.84
71.20
67.41
63.63
43.99
42.01
40.03
37.81
35.50
Thermal
Diffusivity
a, m²/s
Dynamic
Viscosity
μ, kg/m.s
Mercury (Hg) Melting Point: - 39°C
4.287 x 10-6
4.514 x 10-6
4.734 x 10-6
4.956 x 10-6
5.170 x 10-6
5.595 x 10-6
5.996 x 10-6
6.363 x 10-6
6.705 x 10-6
Bismuth (Bi) Melting
1.118 x 10-5
1.096 x 10-5
1.052 x 10-5
1.026 x 10-5
1.010 x 10-5
Sodium (Na) Melting
6.718 x 10-5
6.639 x 10-5
6.544 x 10-5
6.437 x 10-5
6.335 x 10-5
6.220 x 10-5
1.687 X 10-3
1.534 x 10-3
1.423 X 10-3
1.316 x 10-3
1.245 x 10-3
1.126 x 10-3
1.043 x 10-3
9.820 x 10-4
9.336 x 10-4
Point: 271°C
Lead (Pb) Melting Point: 327°C
9.623 x 10-6
9.649 x 10-6
9.651 x 10-6
9.610 x 10-6
9.568 x 10-6
9.526 x 10-6
9.483 x 10-6
Potassium (K) Melting
6.995 x 10-5
7.045 x 10-5
7.090 x 10-5
6.964 x 10-5
6.765 x 10-5
1.540 x 10-3
1.422 x 10-3
1.188 x 10-3
1.013 × 10-3
8.736 x 10-4
2.277 x 10-3
2.065 x 10-3
1.884 x 10-3
1.758 x 10-3
1.632 x 10-3
1.505 x 10-3
1.379 x 10-3
Point: 98°C
6.892 x 10-4
5.385 x 10-4
3.878 x 10-4
2.720 x 10-4
2.411 x 10-4
2.101 x 10-4
Point: 64°C
3.350 x 10-4
2.667 x 10-4
1.984 x 10-4
1.668 x 10-4
1.487 x 10-4
Kinematic
Viscosity
v, m²/s
1.241 x 10-7
1.133 x 10-7
1.056 x 10-7
9.819 x 10-8
9.326 x 10-8
8.514 x 10-8
7.959 x 10-8
7.558 x 10-8
7.252 x 10-8
1.545 x 10-7
1.436 x 10-7
1.215 x 10-7
1.048 x 10-7
9.157 x 10-8
2.167 x 10-7
1.976 x 10-7
1.814 x 10-7
1.702 x 10-7
1.589 x 10-7
1.475 x 10-7
1.360 x 10-7
7.432 x 10-7
5.967 x 10-7
4.418 x 10-7
3.188 x 10-7
2.909 x 10-7
2.614 x 10-7
4.213 x 10-7
3.456 x 10-7
2.652 x 10-7
2.304 x 10-7
2.126 x 10-7
Volume
Prandtl Expansion
Number
Coeff.
B, 1/K
Pr
0.0289 1.810 x 10-4
0.0251 1.810 x 10-4
0.0223 1.810 x 10-4
0.0198 1.810 x 10-4
0.0180 1.810 x 10-4
0.0152 1.810 x 10-4
0.0133 1.815 x 10-4
0.0119 1.829 x 10-4
0.0108 1.854 x 10-4
0.01381
0.01310
0.01154
0.01022
0.00906
0.02252
0.02048
0.01879
0.01771
0.01661
0.01549
0.01434
0.01106
0.008987
0.006751
0.004953
0.004593
0.004202
0.006023
0.004906
0.00374
0.003309
0.003143
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